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Finding the Fourth Proportional to 202,109.10, 278,912.76 and 111,468.90

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Solution

The fourth proportional to 202,109.10, 278,912.76 and 111,468.90 is: 153,828.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,109.10 : 278,912.76 = 111,468.90 : x
  2. Step 2: Convert to fraction form
    202,109.10/278,912.76 = 111,468.90/x
  3. Step 3: Cross multiply
    202,109.10x = 278,912.76 × 111,468.90
  4. Step 4: Simplify right side
    202,109.10x = 31,090,098,553.16
  5. Step 5: Solve for x
    x = 31,090,098,553.16/202,109.10
  6. Step 6: Final answer
    x = 153,828.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.